Let ${a_1},{a_2}...,{a_{10}}$ be a $G.P.$ If $\frac{{{a_3}}}{{{a_1}}} = 25,$ then $\frac {{{a_9}}}{{{a_{ 5}}}}$ equal
$5^4$
$4(5^2)$
$5^3$
$2(5^2)$
If the sum of the second, third and fourth terms of a positive term $G.P.$ is $3$ and the sum of its sixth, seventh and eighth terms is $243,$ then the sum of the first $50$ terms of this $G.P.$ is
The sum of a $G.P.$ with common ratio $3$ is $364$, and last term is $243$, then the number of terms is
Find the sum of the following series up to n terms:
$6+.66+.666+\ldots$
If ${(p + q)^{th}}$ term of a $G.P.$ be $m$ and ${(p - q)^{th}}$ term be $n$, then the ${p^{th}}$ term will be
Find the sum to $n$ terms of the sequence, $8,88,888,8888 \ldots$